The value of k for which the quadratic equation $x^{2} - 2 k x + 5 k = 0$ has equal roots,are

0

only

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5

only

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0

5

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0

6

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Solution

The correct option is B $0$ , $5$
$x^{2} k x + 5 k = 0$
$0 = 0$ for equal roots
$b^{2} - 4 a c = 0$
$(2 - k)^{2} - 4 (1) (5 k) = 0$
$4 k^{2} (k - 5) = 0$
$k = 0$ or $k = 5$

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Question 6
Value(s) of k for which the quadratic equation $2 x^{2}$ - kx + k = 0 has equal roots is/are
(A) 0 only
(B) 4
(C) 8 only
(D) 0, 8

2 x^{2}

k :

5 x^{2} - 2 k x + 20 = 0

x^{2} + 2 (k + 1) x + 9 k - 5 = 0

k \leq 6

f (x) = 0

\geq 0,

< 0,

> 0.

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